2025600 has 96 divisors (see below), whose sum is σ = 6703440. Its totient is φ = 537600.

The previous prime is 2025593. The next prime is 2025623. The reversal of 2025600 is 65202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2025600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9495 + ... + 9705.

2^2025600 is an apocalyptic number.

2025600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351720).

2025600 is an abundant number, since it is smaller than the sum of its proper divisors (4677840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2025600 is a wasteful number, since it uses less digits than its factorization.

2025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2025600 is about 1423.2357499726. The cubic root of 2025600 is about 126.5273938601.

It can be divided in two parts, 20 and 25600, that multiplied together give a cube (512000 = 80³).

The spelling of 2025600 in words is "two million, twenty-five thousand, six hundred".